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• W3105759901 abstract "Quantum phase transitions are usually studied in terms of Hermitian Hamiltonians. However, cold-atom experiments are intrinsically non-Hermitian because of spontaneous decay. Here, we show that non-Hermitian systems exhibit quantum phase transitions that are beyond the paradigm of Hermitian physics. We consider the non-Hermitian XY model, which can be implemented using three-level atoms with spontaneous decay. We exactly solve the model in one dimension and show that there is a quantum phase transition from short-range order to quasi-long-range order despite the absence of a continuous symmetry in the Hamiltonian. The ordered phase has a frustrated spin pattern. The critical exponent ν can be 1 or 1/2. Our results can be seen experimentally with trapped ions, cavity QED, and atoms in optical lattices.3 MoreReceived 6 March 2014DOI:https://doi.org/10.1103/PhysRevX.4.041001This article is available under the terms of the Creative Commons Attribution 3.0 License. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI.Published by the American Physical Society" @default.
• W3105759901 created "2020-11-23" @default.
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• W3105759901 date "2014-10-02" @default.
• W3105759901 modified "2023-09-30" @default.
• W3105759901 title "Heralded Magnetism in Non-Hermitian Atomic Systems" @default.
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• W3105759901 doi "https://doi.org/10.1103/physrevx.4.041001" @default.
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